Asymptotic periodicity of nonlinear discrete Volterra equations and applications

Angelamaria Cardone; Ida Del Prete; Hermann BRUNNER

doi:10.1080/10236198.2011.581664

Asymptotic periodicity of nonlinear discrete Volterra equations and applications

Angelamaria Cardone^*
, Ida Del Prete
, Hermann BRUNNER

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

7 Citations (Scopus)

Abstract

Sufficient conditions for the asymptotic periodicity of solutions of nonlinear discrete Volterra equations of Hammerstein type are obtained. Such results are applied to analyze the property of a class of numerical methods to preserve the asymptotic periodicity of the analytical solution of Volterra integral equations.

Original language	English
Pages (from-to)	1531-1543
Number of pages	13
Journal	Journal of Difference Equations and Applications
Volume	18
Issue number	9
DOIs	https://doi.org/10.1080/10236198.2011.581664
Publication status	Published - Sept 2012

User-Defined Keywords

θ-methods
asymptotically periodic solutions
discrete Volterra equations
Volterra integral equations

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10.1080/10236198.2011.581664

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@article{4d2f78f7b57b4906931984e9d3e549fb,

title = "Asymptotic periodicity of nonlinear discrete Volterra equations and applications",

abstract = "Sufficient conditions for the asymptotic periodicity of solutions of nonlinear discrete Volterra equations of Hammerstein type are obtained. Such results are applied to analyze the property of a class of numerical methods to preserve the asymptotic periodicity of the analytical solution of Volterra integral equations.",

keywords = "θ-methods, asymptotically periodic solutions, discrete Volterra equations, Volterra integral equations",

author = "Angelamaria Cardone and \{Del Prete\}, Ida and Hermann BRUNNER",

year = "2012",

month = sep,

doi = "10.1080/10236198.2011.581664",

language = "English",

volume = "18",

pages = "1531--1543",

journal = "Journal of Difference Equations and Applications",

issn = "1023-6198",

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TY - JOUR

T1 - Asymptotic periodicity of nonlinear discrete Volterra equations and applications

AU - Cardone, Angelamaria

AU - Del Prete, Ida

AU - BRUNNER, Hermann

PY - 2012/9

Y1 - 2012/9

N2 - Sufficient conditions for the asymptotic periodicity of solutions of nonlinear discrete Volterra equations of Hammerstein type are obtained. Such results are applied to analyze the property of a class of numerical methods to preserve the asymptotic periodicity of the analytical solution of Volterra integral equations.

AB - Sufficient conditions for the asymptotic periodicity of solutions of nonlinear discrete Volterra equations of Hammerstein type are obtained. Such results are applied to analyze the property of a class of numerical methods to preserve the asymptotic periodicity of the analytical solution of Volterra integral equations.

KW - θ-methods

KW - asymptotically periodic solutions

KW - discrete Volterra equations

KW - Volterra integral equations

UR - https://www.scopus.com/pages/publications/84866163542

U2 - 10.1080/10236198.2011.581664

DO - 10.1080/10236198.2011.581664

M3 - Journal article

AN - SCOPUS:84866163542

SN - 1023-6198

VL - 18

SP - 1531

EP - 1543

JO - Journal of Difference Equations and Applications

JF - Journal of Difference Equations and Applications

IS - 9

ER -

Asymptotic periodicity of nonlinear discrete Volterra equations and applications

Abstract

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